Question 81659
No problem at all!

Think about it for a moment.

When something crosses the x axis, it has NO y value--or zero.  So, anything that intersects the x axis would have the point (#,0).

When something crosses the y axis, it has NO x value--or zero.  So, anything that intersects the y axis would have the point (0,#).

Now, using that information, to find where 4x + 12 = 3y crosses the x axis, simply plug 0 in for y--since y has to be 0 for it to be true.

4x + 12 = 3y
4x + 12 = 3(0)
4x + 12 = 0
4x + 12 - 12 = 0 - 12
4x = -12
4x/4 = -12/4
x = -3

This line crosses the x axis at the point (-3,0).

Now, the y axis.

To find where 4x + 12 = 3y crosses the y axis, simply plug 0 in for x--since x has to be 0 for it to be true.

4x + 12 = 3y
4(0) + 12 = 3y
0 + 12 = 3y
12 = 3y
12/3 = 3y/3
4 = y

This line crosses the x axis at the point (0, 4).